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Impact dynamics of large dimensional systems

    Research output: Working paper

    433 Downloads (Pure)

    Abstract

    In this paper we present a model of impact dynamics in large dimensional systems. We describe a hybrid method, based on graph theory and probability theory, which enables us qualitatively to model the statistics of global dynamics as parameters are varied. Direct numerical simulation reveals a sudden jump from no impacts within the system to many repeated impacts at a critical value of system parameters. We show that a simple model of the most likely number of impacts also possesses a sudden jump and gives good agreement with the numerical results for large impact probability. A refinement of this model improves the agreement at lower impact probability values
    Original languageEnglish
    Publication statusPublished - Feb 2006

    Research Groups and Themes

    • Engineering Mathematics Research Group

    Keywords

    • many dimensional systems
    • engineering mathematics
    • piecewise smooth systems
    • graph theory

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      • 1 Article (Academic Journal)

      • Impact dynamics of large dimensional systems

        Homer, M. & Hogan, S., Feb 2007, In: International Journal of Bifurcation and Chaos. 17 (2), p. 561 - 573 13 p.

        Research output: Contribution to journal › Article (Academic Journal) › peer-review

        1 Citation (Scopus)

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